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Finding the Fourth Proportional to 10,791.14, 14,891.76 and 6,076.94

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Solution

The fourth proportional to 10,791.14, 14,891.76 and 6,076.94 is: 8,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.14 : 14,891.76 = 6,076.94 : x
  2. Step 2: Convert to fraction form
    10,791.14/14,891.76 = 6,076.94/x
  3. Step 3: Cross multiply
    10,791.14x = 14,891.76 × 6,076.94
  4. Step 4: Simplify right side
    10,791.14x = 90,496,332.01
  5. Step 5: Solve for x
    x = 90,496,332.01/10,791.14
  6. Step 6: Final answer
    x = 8,386.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.